A-posteriori error estimation and adaptivity for nonlinear parabolic equations using IMEX-Galerkin discretization of primal and dual equations

A-posteriori error estimation and adaptivity for nonlinear parabolic equations using IMEX-Galerkin discretization of primal and dual equations

While many methods exist to discretize nonlinear time-dependent partial differential equations (PDEs), the rigorous estimation and adaptive control of their discretization errors remains challenging. In this paper, we present a methodology for duality-based a posteriori error estimation for nonlinea...

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Bibliographic Details
Main Authors: Wu, X., van der Zee, Kristoffer George, Şimşek, G., van Brummelen, E.H.
Format: Article
Language:English
Published: Society for Industrial and Applied Mathematics 2018
Subjects:
A posteriori error estimate
Duality-based error estimate
IMEX scheme
Implicit-explicit schemes
Space-time error
Adaptivity
Parabolic PDE
Online Access:https://eprints.nottingham.ac.uk/55020/

Internet

https://eprints.nottingham.ac.uk/55020/

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